MTH2010 - Multivariable calculus
6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL
Undergraduate Faculty of Science
Leader(s): Semester One - Dr Maria Athanassenas; Semester Two - Professor Steven Siems
Offered
Clayton First semester 2009 (Day)
Clayton Second semester 2009 (Day)
Gippsland First semester 2009 (Off-campus)
Synopsis
Functions of several variables, partial derivatives, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes. Use of a computer algebra package.
Objectives
On completion of this unit students will be able to understand basic concepts in multivariable calculus and its applications in a number of areas of mathematics and science; they will be able to determine extreme values of multivariable functions; evaluate line, double, triple and surface integrals; comprehend the concepts of gradient, divergence and curl; use the divergence theorem and Stoke's theorem; and have developed skills in the use of computer algebra software as an aid for modelling and in the production of scientific reports.
Assessment
Examination (3 hours): 50%
Projects: 50%
Contact hours
Three 1-hour lectures and one 2-hour computer laboratory per week
Prerequisites
Prohibitions
MAT2901, MAT2911